This site is supported by donations to The OEIS Foundation.



Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A030631 Numbers with 13 divisors. 27


%S 4096,531441,244140625,13841287201,3138428376721,23298085122481,

%T 582622237229761,2213314919066161,21914624432020321,

%U 353814783205469041,787662783788549761,6582952005840035281

%N Numbers with 13 divisors.

%C 12th powers of primes. The n-th number with p divisors is equal to the n-th prime raised to power p-1, where p is prime. - _Omar E. Pol_, May 06 2008

%C Solutions of the equation n'=12*n^(11/12), where n' is the arithmetic derivative of n. - _Paolo P. Lava_, Oct 31 2012

%H R. J. Mathar, <a href="/A030631/b030631.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n)=A000040(n)^(13-1)=A000040(n)^(12). - _Omar E. Pol_, May 06 2008

%t (Prime@Range@30)^12 (* _Vladimir Joseph Stephan Orlovsky_, Apr 11 2011 *)

%o (MAGMA) [p^12: p in PrimesUpTo(100)]; // _Vincenzo Librandi_, Mar 27 2014

%o (PARI) is(n)=isprimepower(n)==12 \\ _Charles R Greathouse IV_, Jun 19 2016

%Y Cf. A000040, A030629.

%Y Subsequence of A008456.

%K nonn,easy

%O 1,1

%A _Jeff Burch_

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 7 05:14 EST 2019. Contains 329839 sequences. (Running on oeis4.)